You can actually do things the other way around, that is, get a remote Word running on your Windows desktop, using Cygwin and SSH. But you still need to get Word running under Linux to do that.

The fundamental problem is that Windows was never designed to work over a network. Networking was something they added on, as an afterthought. The Linux display model, however, was inherited from Unix, and it was designed to run over a network right from the beginning. It was actually assumed you would be running your display over a network. The server would be in some closet somewhere, and your desktop machine would simply be an input-output box. Technology caught up, and now the server and the client are almost always on the same machine, but all the infrastructure is still there for making it work, and making it work well. The cool thing about the tablet is that it can act as a hand-held network application server, too!